Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by Substitution - Exercise Set - Page 301: 47

After combining like terms, there would be a false statement.

Example: $6x+12y=5$ $-4x-8y=0$ $-4x-8y=0$ $-4x=8y$ $-4x/-4 = 8y/-4$ $x=-2y$ $6x+12y=5$ $6(-2y)+12y=5$ $-12y+12y=5$ $0\ne5$ The false statement would indicate that the system has no solution.